Question

A vector is described. Express the vector in terms of i and j.A plane flying downward toward a runway at 151 miles per hour makes an angle of 7° with the runway.v=(Simplify your answer. Round to the nearest tenth as needed. Type your answer in terms of i and j.)

Answer 1

We will have the following:

First, we remember that (In this case) the x-component of the vector and the y-component of the vector are given by the magintude times cosine and sine respectively, so the expression for velocity is:

`V=151\cos (7)i+151\sin (7)j^{}\Rightarrow V\approx149.9i+18.4j`

So, the expression that represents the velocity and is approximated is:

`V\approx149.9i+18.4j`